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2101213110300 = 2235219816745137
BaseRepresentation
bin11110100100111010000…
…011111010000000011100
321102212121011011120200220
4132210322003322000130
5233411241024012200
64245141201121340
7304544006514213
oct36447203720034
97385534146626
102101213110300
11740135027687
1229b290029250
131231b34a8755
14739b0a9407a
15399cd9924a0
hex1e93a0fa01c

2101213110300 has 144 divisors (see below), whose sum is σ = 6400409514240. Its totient is φ = 530756029440.

The previous prime is 2101213110289. The next prime is 2101213110313. The reversal of 2101213110300 is 30113121012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2101213110300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46529332 + ... + 46574468.

Almost surely, 22101213110300 is an apocalyptic number.

2101213110300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101213110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200204757120).

2101213110300 is an abundant number, since it is smaller than the sum of its proper divisors (4299196403940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101213110300 is a wasteful number, since it uses less digits than its factorization.

2101213110300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53340 (or 53333 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2101213110300 its reverse (30113121012), we get a palindrome (2131326231312).

The spelling of 2101213110300 in words is "two trillion, one hundred one billion, two hundred thirteen million, one hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 8167 16334 24501 32668 40835 45137 49002 81670 90274 98004 122505 135411 155173 163340 180548 204175 225685 245010 270822 310346 408350 451370 465519 490020 541644 612525 620692 677055 775865 816700 857603 902740 931038 1128425 1225050 1354110 1551730 1715206 1862076 2256850 2327595 2450100 2572809 2708220 3103460 3385275 3430412 3879325 4288015 4513700 4655190 5145618 6770550 7758650 8576030 9310380 10291236 11637975 12864045 13541100 15517300 17152060 21440075 23275950 25728090 42880150 46551900 51456180 64320225 85760300 128640450 257280900 368633879 737267758 1105901637 1474535516 1843169395 2211803274 3686338790 4423606548 5529508185 7004043701 7372677580 9215846975 11059016370 14008087402 18431693950 21012131103 22118032740 27647540925 28016174804 35020218505 36863387900 42024262206 55295081850 70040437010 84048524412 105060655515 110590163700 140080874020 175101092525 210121311030 350202185050 420242622060 525303277575 700404370100 1050606555150 2101213110300